📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Pipe 'A' can fill a tank in 18 hours. Pipe 'B' is ____% as

    efficient as pipe 'A'. If both pipes are opened simultaneously, the tank will be completely full in ____hours.The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I. 80, 10 II. 25, 14.4 III. 180, 6
    A Only I and II Correct Answer Incorrect Answer
    B All I, II and III Correct Answer Incorrect Answer
    C Only I and III Correct Answer Incorrect Answer
    D Only III Correct Answer Incorrect Answer
    E Only II Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be '90x' litres. So, efficiency of pipe 'A' = 90x ÷ 18 = '5x' litres/hourFor: I
    Efficiency of pipe 'B' = 5x × 0.80 = '4x' litres/hour
    Time taken by both pipes together to fill the tank = 90x ÷ (4x + 5x) = 90x ÷ 9x = 10 hours
    Therefore, statement 'I' is true.
    For: II
    Efficiency of pipe 'B' = 5x × 0.25 = '1.25x' litres/hour
    Time taken by both pipes together to fill the tank = 90x ÷ (1.25x + 5x) = 90x ÷ 6.25x = 14.4 hours
    Therefore, statement 'II' is true.
    For: III
    Efficiency of pipe 'B' = 5x × 1.80 = '9x' litres/hour
    Time taken by both pipes together to fill the tank = 90x ÷ (9x + 5x) = 90x ÷ 14x ~ 6.43 hours
    Therefore, statement 'III' is not true.

    Practice Next
    More Pipes and cisterns Questions

    Relevant for Exams:

    ask-question